Extensions 1→N→G→Q→1 with N=C₅ and Q=Dic₅

Direct product G=N×Q with N=C₅ and Q=Dic₅

		d	ρ	Label	ID
C₅×Dic₅		20	2	C5xDic5	100,6

Semidirect products G=N:Q with N=C₅ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊Dic₅ = D₅.D₅	φ: Dic₅/C₅ → C₄ ⊆ Aut C₅	20	4	C5:Dic5	100,10
C₅⋊₂Dic₅ = C₅²⋊₆C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₅	100		C5:2Dic5	100,7

Non-split extensions G=N.Q with N=C₅ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.Dic₅ = Dic₂₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₅	100	2-	C5.Dic5	100,1

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C5 and Q=Dic5